Graphing Systems Word Problems

Which point is a solution?

• (0, 6)

• (-3, 4)

• (1, 0)

• (-4, 3)

Is (-2,4) a solution to the system?

• Solution

• Not a solution

How many solutions will this system have?

• One

• Two

• No Solution

• Infinitely Many Solutions

When you graph the exact same equation twice,

• you will have no solution. 

• you will have one solution.

• you will have infinite solutions. 

• you will have two solutions.

How many solutions will this system have? 

• No solution

• One Solution

• Two solutions

• Infinitely Many Solutions

What is the solution to the system?

Which ordered pair is the solution to this system?

HINT: plug the x number into the x in each equation and plug the y number into the y in each equation and solve to see which one works for BOTH!)

y = 2/3x - 2

y = -x + 3

• (0,3)

• (0,-3)

• (3,0)

• (-3,0)

Which ordered pair is the solution to this system?

HINT: plug the x number into the x in each equation and plug the y number into the y in each equation and solve to see which one works for BOTH!)

y = 1/2x + 2

y = -3x + 9

• (2,3)

• (-2,-3)

• (3, 2)

• (-3,2)

Which statement below appears to be true based on the graph?

• The charge for a trip with a distance of 5 miles is $5 greater for Taxi 1 than for Taxi 2.

• The charge for a trip with a distance of 5 miles is $5 less for Taxi 1 than for Taxi 2.

•  The charge for a trip with a distance of 5 miles is $20 for both Taxi 1 and Taxi 2.

• The charge for a trip with a distance of 5 miles cannot be determined for either Taxi 1 or Taxi 2.

Which statement is true based on the graph?

• At 7 weeks, both Renee and Paul will have saved $80.

• At 8 weeks, both Renee and will have saved $70.

• At 8 weeks, Renee will have saved more than Paul.

• At 9 weeks, Paul will have saved more than Renee.